For the pumpkin spice latte:

1. Make the espresso: Make the espresso using an espresso machine, manual espresso maker, French press, or Moka Pot. Go to How to Make Espresso for instructions.
2. Mix the espresso: Use a spoon to mix the espresso with the pumpkin puree and maple syrup, stirring until the pumpkin is completely dissolved.
3. Steam or froth the milk and pumpkin spices (double batch): Combine the milk and the pumpkin pie spice. Steam the milk with an espresso machine, or heat and then froth the milk using your method of choice (milk frother, French press, whisk or covered jar). It’s easiest to steam or froth 1 cup of milk for 2 drinks. Go to How to Steam Milk or How to Froth Milk for details on each.
4. Serve: Pour the spiced milk into center of the espresso, ending with light foam (using half the steamed or frothed milk for 1 drink). If desired, garnish with extra pumpkin spices.

For the iced pumpkin spice latte

1. Make the espresso: Make the espresso using an espresso machine, manual espresso maker, French press, or Moka Pot. (Or, substitute strong coffee.)
2. Froth the milk: Place the milk and pumpkin spice blend in a covered jar and shake until foamy.
3. Serve: Add the espresso, pumpkin puree and maple syrup to a glass and stir until combined. Top with the frothed milk. If desired, top with whipped cream. Sprinkle with additional pumpkin spice.